CN115048693A - Main stress transmission and distribution method for wall back filling - Google Patents
Main stress transmission and distribution method for wall back filling Download PDFInfo
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- 239000002689 soil Substances 0.000 claims abstract description 10
- PCTMTFRHKVHKIS-BMFZQQSSSA-N (1s,3r,4e,6e,8e,10e,12e,14e,16e,18s,19r,20r,21s,25r,27r,30r,31r,33s,35r,37s,38r)-3-[(2r,3s,4s,5s,6r)-4-amino-3,5-dihydroxy-6-methyloxan-2-yl]oxy-19,25,27,30,31,33,35,37-octahydroxy-18,20,21-trimethyl-23-oxo-22,39-dioxabicyclo[33.3.1]nonatriaconta-4,6,8,10 Chemical compound C1C=C2C[C@@H](OS(O)(=O)=O)CC[C@]2(C)[C@@H]2[C@@H]1[C@@H]1CC[C@H]([C@H](C)CCCC(C)C)[C@@]1(C)CC2.O[C@H]1[C@@H](N)[C@H](O)[C@@H](C)O[C@H]1O[C@H]1/C=C/C=C/C=C/C=C/C=C/C=C/C=C/[C@H](C)[C@@H](O)[C@@H](C)[C@H](C)OC(=O)C[C@H](O)C[C@H](O)CC[C@@H](O)[C@H](O)C[C@H](O)C[C@](O)(C[C@H](O)[C@H]2C(O)=O)O[C@H]2C1 PCTMTFRHKVHKIS-BMFZQQSSSA-N 0.000 claims description 12
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Abstract
The invention relates to the technical field of constructional engineering, and discloses a method for transmitting and distributing main stress of rear wall filling, which comprises the following steps: s1, respectively forming a curve type thin layer unit ABB 'A' along two main stress traces of wall back surface points A and B with the wall embedding depths h and h + delta h; the cell upper boundary AA' has a minimum principal stress σ 3 Acting, and the lower boundary surface BB' has a corresponding minimum principal stress σ 3 +Δσ 3 Effects, both their magnitude and direction vary with θ; the invention uses static balance condition and rotation moment balance condition of two directions of the lamellar unit to obtain the balance of theta and sigma 1 And σ 3 To obtain two principal stresses, andand solving the three differential equations by means of the static balance conditions of the thin-layer unit and the static balance conditions of mass points on the main stress trace, and finally obtaining a main stress distribution analytic result of the filled soil behind the wall.
Description
Technical Field
The invention relates to the technical field of constructional engineering, in particular to a method for transmitting and distributing main stress of rear wall filling.
Background
The building engineering refers to an engineering entity formed by the construction of various building constructions and their auxiliary facilities and the installation of lines, pipelines and equipment matched with them. The house building is characterized by comprising a top cover, a beam column, a wall, a foundation and a project which can form an internal space and meet the requirements of people on production, living, study and public activities. When construction is carried out on building engineering, earth filling operation is often required to be carried out after a building wall, and the earth filling operation is used for reducing the clearance between a building and the ground and simultaneously ensuring the stability of the building. After the earth is filled after the wall is built, the earth can cause certain pressure on the wall of the building, and in order to ensure that the earth pressure can not cause damage to the wall of the building, the main stress distribution of the earth filled behind the wall needs to be analyzed. However, when the existing method for analyzing and researching the soil pressure of the retaining wall based on the thin layer unit analysis is used, various artificial assumptions are often required to be made about the stress condition of the thin layer unit, so that the existing research is lack of theoretical tightness.
Disclosure of Invention
Technical problem to be solved
Aiming at the defects of the prior art, the invention provides a method for transmitting and distributing main stress of rear filling of a wall, which solves the problems in the prior art.
(II) technical scheme
In order to achieve the purpose, the invention provides the following technical scheme: a main stress transmission and distribution method for filling soil behind a wall comprises the following steps:
s1, respectively forming a curve type thin layer unit ABB 'A' along two main stress traces of wall back surface points A and B with the penetration depths of h and h + delta h; the cell upper side interface AA' has a minimum principal stress σ 3 Acting, and the lower boundary surface BB' has a corresponding minimum principal stress σ 3 +Δσ 3 Effects, both their magnitude and direction vary with θ;
s2, cutting a section ABCD of the thin layer unit ABB 'A' by the side of the retaining wall, the position of the boundary DC is determined by theta, and the DC surface has the maximum principal stress sigma 1 In action, the length s of the line segment DC can be regarded as the thickness of the curve type thin layer unit segment ABCD, and the boundary AB has wall soil contact stress sigma w And τ w Action, in fact, σ 1 And σ 3 Maximum and minimum principal stresses, respectively, at any point D on the principal stress trace AA';
s3, analyzing unit stress by considering the distribution acting force and direction of the upper and lower interfaces AD and BC, the thin layer unit thickness S and the influence of gravity changing along with the change of theta according to the thin layer unit section ABCD as an isolated body;
s4, obtaining static force and a moment balance equation in two directions according to the static balance condition of the lamellar unit section ABCD, and obtaining a group of differential equations based on the lamellar unit static balance by respectively calculating partial derivatives of theta according to the three equations;
s5, obtaining another set of differential equations based on the static equilibrium of the particles according to the stress equilibrium differential equation of the particles D on the unit interface AA' (namely the main stress trace) in the rectangular coordinate system xoy and by considering the coordinate transformation relation between the xoy coordinate system and the main stress coordinate system of the particles D on the main stress trace;
and S6, simultaneously solving the two groups of differential equations based on the curve type thin layer units and the static equilibrium of the upper boundary mass points of the curve type thin layer units, and combining boundary conditions to obtain the main stress distribution analytical method of the rear filling of the wall.
Preferably, Δ h and Δ σ in step S1 3 All are infinitesimal and trace.
Preferably, in step S2, the length S of the line segment DC is directly affected by θ, and σ w And τ w Earth pressure of retaining wall for buried depth h, other sigma 1 And σ 3 At any point D on the main stress trace AA', the location of which is described by h and θ, respectively.
Preferably, in step S3, the distribution acting force of the upper and lower interfaces AD and BC is σ 3 And σ 3 +Δσ 3 。
Preferably, the two directions in step S4 are x and y coordinate axis directions, respectively.
(III) advantageous effects
The invention provides a main stress transmission and distribution method for filling soil behind a wall, which has the following beneficial effects:
the invention uses the static balance condition and the rotation moment balance condition of the other direction of the lamellar unit to obtain the balance relation between theta and sigma 1 And σ 3 In addition, the three differential equations are solved by means of the static balance conditions of the thin layer unit and the static balance conditions of mass points on the main stress trace, and finally, the main stress distribution analytic result of the filled soil behind the wall is obtained.
Drawings
FIG. 1 is a schematic diagram of a curvilinear thin-layer cell analysis method according to the present invention.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
As shown in fig. 1, the present invention provides a technical solution: a main stress transmission and distribution method for filling soil behind a wall comprises the following steps:
s1, respectively forming a curve type thin layer unit ABB 'A' along two main stress traces of wall back surface points A and B with the buried depth h and h + delta h (delta h is infinitesimal trace); the cell upper boundary AA' has a minimum principal stress σ 3 Acting, and the lower boundary surface BB' has a corresponding minimum principal stress σ 3 +Δσ 3 (Δσ 3 Infinitesimal trace), their size and direction vary with theta;
s2, cutting a section ABCD of the thin layer unit ABB 'A' by the side of the retaining wall, the position of the boundary DC is determined by theta, and the DC surface has the maximum principal stress sigma 1 In effect, the length s of the line segment DC can be regarded as the thickness of the curve-shaped thin-layer unit segment ABCD (which is directly influenced by theta), and the boundary AB has wall-soil contact stress sigma w And τ w (they are retaining wall earth pressure of depth h) act, in effect, σ 1 And σ 3 Maximum and minimum principal stresses, respectively, at any point D (whose location is described by h and θ) on the principal stress trace AA';
s3, the apparent lamella unit segment ABCD is a separator, and the distribution acting force (sigma) of the upper and lower interfaces AD and BC is considered 3 And σ 3 +Δσ 3 ) The size and direction of the thin layer unit, the thickness s of the thin layer unit and the influence of gravity changing along with the change of theta are subjected to unit stress analysis;
s4, obtaining static force in two directions (x and y coordinate axis directions) and a moment balance equation according to the static balance condition of the lamellar unit section ABCD, and obtaining a group of differential equations based on the static balance of the lamellar unit by respectively calculating partial derivatives of theta according to the three equations;
s5, obtaining another set of differential equations based on the static equilibrium of the particles according to the stress equilibrium differential equation of the particles D on the unit interface AA' (namely the main stress trace) in the rectangular coordinate system xoy and by considering the coordinate transformation relation between the xoy coordinate system and the main stress coordinate system of the particles D on the main stress trace;
and S6, simultaneously solving the two groups of differential equations based on the curve type thin layer units and the static balance of the upper boundary mass points of the curve type thin layer units, and combining boundary conditions to obtain the main stress distribution analysis method of the wall back filling.
It is noted that, herein, relational terms such as first and second, and the like may be used solely to distinguish one entity or action from another entity or action without necessarily requiring or implying any actual such relationship or order between such entities or actions. Also, the terms "comprises," "comprising," or any other variation thereof, are intended to cover a non-exclusive inclusion, such that a process, method, article, or apparatus that comprises a list of elements does not include only those elements but may include other elements not expressly listed or inherent to such process, method, article, or apparatus.
Although embodiments of the present invention have been shown and described, it will be appreciated by those skilled in the art that changes, modifications, substitutions and alterations can be made in these embodiments without departing from the principles and spirit of the invention, the scope of which is defined in the appended claims and their equivalents.
Claims (5)
1. A main stress transmission and distribution method for filling soil behind a wall is characterized by comprising the following steps:
s1, respectively forming a curve type thin layer unit ABB 'A' along two main stress traces of wall back surface points A and B with the penetration depths of h and h + delta h; the cell upper boundary AA' has a minimum principal stress σ 3 Acting, and the lower boundary surface BB' has a corresponding minimum principal stress σ 3 +Δσ 3 Action of themBoth the magnitude and direction of (a) change with theta;
s2, cutting a section ABCD of the thin layer unit ABB 'A' by the side of the retaining wall, the position of the boundary DC is determined by theta, and the DC surface has the maximum principal stress sigma 1 In action, the length s of the line segment DC can be regarded as the thickness of the curve type thin layer unit segment ABCD, and the boundary AB has wall soil contact stress sigma w And τ w Action, in fact, σ 1 And σ 3 Maximum and minimum principal stresses, respectively, at any point D on the principal stress trace AA';
s3, analyzing unit stress by considering the distribution acting force and direction of the upper and lower interfaces AD and BC, the thin layer unit thickness S and the influence of gravity changing along with the change of theta according to the thin layer unit section ABCD as an isolated body;
s4, obtaining static force and a moment balance equation in two directions according to the static balance condition of the lamellar unit section ABCD, and obtaining a group of differential equations based on the lamellar unit static balance by respectively calculating partial derivatives of theta according to the three equations;
s5, obtaining another set of differential equations based on the static equilibrium of the particles according to the stress equilibrium differential equation of the particles D on the unit interface AA' (namely the main stress trace) in the rectangular coordinate system xoy and by considering the coordinate transformation relation between the xoy coordinate system and the main stress coordinate system of the particles D on the main stress trace;
and S6, simultaneously solving the two groups of differential equations based on the curve type thin layer units and the static equilibrium of the upper boundary mass points of the curve type thin layer units, and combining boundary conditions to obtain the main stress distribution analytical method of the rear filling of the wall.
2. The main stress transferring and distributing method for the back filling of the wall as claimed in claim 1, wherein: Δ h and Δ σ in the step S1 3 All are infinitesimal and trace.
3. The main stress transferring and distributing method for the back filling of the wall as claimed in claim 1, wherein: in the step S2, the length S of the line segment DC is directly affected by θ, and σ w And τ w Earth pressure of retaining wall for depth of burial h, other sigma 1 And σ 3 At any point D on the main stress trace AA', the location of which is described by h and θ, respectively.
4. The method for transmitting and distributing the principal stress of the backfill behind the wall according to the claim 1, characterized in that: in step S3, the distribution acting force of the upper and lower interfaces AD and BC is σ 3 And σ 3 +Δσ 3 。
5. The main stress transferring and distributing method for the back filling of the wall as claimed in claim 1, wherein: the two directions in step S4 are x and y coordinate axis directions, respectively.
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Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN105571768A (en) * | 2016-01-04 | 2016-05-11 | 安徽理工大学 | Shallow-buried tunnel soil pressure calculating method based on displacement monitoring result |
| CN106599382A (en) * | 2016-11-23 | 2017-04-26 | 湖北工业大学 | Stress solution method based on force boundary and balance conditions |
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Patent Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN105571768A (en) * | 2016-01-04 | 2016-05-11 | 安徽理工大学 | Shallow-buried tunnel soil pressure calculating method based on displacement monitoring result |
| CN106599382A (en) * | 2016-11-23 | 2017-04-26 | 湖北工业大学 | Stress solution method based on force boundary and balance conditions |
Non-Patent Citations (2)
| Title |
|---|
| 张慧姐;曹文贵;刘涛;: "基于主应力迹线分层的挡墙被动土压力分析方法", 岩土力学, vol. 41, no. 09, 22 April 2020 (2020-04-22), pages 3022 - 3030 * |
| 李敏等: "基于大主应力迹线的无黏性土挡墙土压力分析", 《长江科学院院报》, vol. 38, no. 6, 30 June 2021 (2021-06-30), pages 72 - 78 * |
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